Elasto-viscoplastic constitutive equations for the description of glassy polymers behavior at constant strain rate

Journal of Engineering Materials and Technology

Volumn 129, Issue 1, 2007, Pages 29-35

  Zaïri, Fahmi ^a   Naït Abdelaziz, Moussa ^a   Woznica, Krzysztof ^b   Gloaguen, Jean Michel ^a  

^a UNIV LILLE   (France)

^b ENSI de Bourges   (France)

Author keywords

Glassy polymers behavior; Parameters identification; Viscoplasticity

Indexed keywords

DATA ACQUISITION; GLASS; PARAMETER ESTIMATION; POLYMETHYL METHACRYLATES; STRAIN RATE; VISCOPLASTICITY;

GLASSY POLYMERS BEHAVIOR; PARAMETERS IDENTIFICATION; UNIAXIAL TENSILE TESTS;

POLYMERS;

EID: 34248227284     PISSN: 00944289     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2400256     Document Type: Article

References (23)

1. Eyring, H., 1936, "Viscosity, Plasticity, and Diffusion as Examples of Absolute Reaction Rates," J. Chem. Phys., 4, pp. 283-291.
2. Argon, A. S., 1973, "A Theory for the Low Temperature Plastic Deformation of Glassy Polymers," Philos. Mag., 28, pp. 839-865.
3. Haward, R. N., and Thackray, O., 1968, "The Use of a Mathematical Model to Describe Isothermal Stress-Strain Curves in Glassy Thermoplastics, " Proc. Roy. Soc., 302, pp. 453-472.
4. Boyce, M. C., Parks, D. M., and Argon, A. S., 1988, "Large Inelastic Deformation of Glassy Polymers. Part I: Rate Dependent Constitutive Model," Mech. Mater., 7, pp. 15-33.
5. Wu, P. D., and Van der Giessen, E., 1995, "On Neck Propagation in Amorphous Glassy Polymers Under Plane Strain Tension," Int. J. Plast., 11, pp. 211-235.
6. Arruda, E. M., Boyce, M. C., and Jayachandran, R., 1995, "Effects of Strain Rate, Temperature and Thermomechanical Coupling on the Finite Strain Deformation of Glassy Polymers," Mech. Mater., 19, pp. 193-212.
7. Van der Aa, H. C. E., Van der Aa, M. A. H., Schreurs, P. J. G., Baaijens, F. P. T., and Van Veenen, W. J., 2000, "An Experimental and Numerical Study of the Wall Ironing Process of Polymer Coated Sheet Metal," Mech. Mater., 32, pp. 423-443.
8. Frank, G. J., and Brockman, R. A., 2001, "A Viscoelastic- Viscoplastic Constitutive Model for Glassy Polymers," Int. J. Solids Struct., 38, pp. 5149-5164.
9. Bodner, S. R., and Partom, Y., 1975, "Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials," ASME J. Appl. Mech., 42, pp. 385-389.
10. Perzyna, P., 1966, "Fundamental Problems in Viscoplasticity," Adv. Appl. Mech., 9, pp. 243-377.
11. Van der Sluis, O., Schreurs, P. J. G., and Meijer, H. E. H., 2001, "Homogenisation of Structured Elastoviscoplastic Solids at Finite Strains," Mech. Mater., 33, pp. 499-522.
12. Ho, K., and Krempl, E., 2002, "Extension of the Viscoplasticity Theory Based on Overstress (VBO) to Capture Non-standard Rate Dependence in Solids," Int. J. Plast., 18, pp. 851-872.
13. Krempl, E., McMahon, J. J., and Yao, D., 1984, "Viscoplasticity Based on Overstress With a Differential Growth Law for the Equilibrium Stress," Mech. Mater., 5, pp. 35-48.
14. Chan, K. S., Bodner, S. R., and Lindholm, U. S., 1988, "Phenomenological Modelling of Hardening and Thermal Recovery in Metals," J. Eng. Mater. Technol., 110, pp. 1-8.
15. Rowley, M. A., and Thornton, E. A., 1996, "Constitutive Modeling of the Visco-Plastic Reponse of Hastelloy-x and Aluminium Alloy 8009," J. Eng. Mater. Technol., 118, pp. 19-27.
16. Woznica, K., and Klosowski, P., 2000, "Evaluation of Viscoplastic Parameters and its Application for Dynamic Behavior of Plates," Arch. Appl. Mech., 70, pp. 561-570.
17. Woznica, K., Pennetier, O., and Renard, J., 2001, "Experiments and Numerical Simulations on Thin Metallic Plates Subjected to an Explosion," J. Eng. Mater. Technol., 123, pp. 203-209.
18. Wu, S., 1985, "Phase Structure and Adhesion in Polymer Blends: A Criterion for Rubber Toughening," Polymer, 26. pp. 1855-1863.
19. Gloaguen, J. M., Heim, P., Gaillard, P., and Lefebvre, J. M., 1992, "Plasticity of Rubber-Toughened PMMA: Effect of Particle Size," Polymer, 33, pp. 4741.
20. Gloaguen, J. M., Steer, P., Gaillard, P., Wrotecki, C., and Lefebvre, J. M., 1993, "Plasticity and Fracture Initiation in Rubber-Toughened PMMA," Polym. Eng. Sci., 33, pp. 748.
21. G'Sell, C., Hiver, J. M., and Dahoun, A., 2002, "Experimental Characterization of Deformation Damage in Solid Polymers Under Tension, and its Interrelation With Necking," Int. J. Solids Struct., 39, pp. 3857-3872.
22. Heikens, D., Sjoerdsma, S. D., and Coumans, W. J., 1981, "A Mathematical Relation Between Volume Strain, Elongation Strain and Stress in Homogeneous Deformation," J. Mater. Sci., 16, pp. 429.
23. Zaïri, F., Naït-Abdelaziz, M., Woznica, K., and Gloaguen, J.-M., 2005, "Constitutive Equations for the Viscoplastic-Damage Behaviour of a Rubber-Modified Polymer," Eur. J. Mech. A/Solids, 24, pp. 169-182.